Classical perspectives on the Newton–Wigner position observable

  title={Classical perspectives on the Newton–Wigner position observable},
  author={Philip K. Schwartz and Domenico Giulini},
  journal={arXiv: Mathematical Physics},
This paper deals with the Newton--Wigner position observable for Poincare-invariant classical systems. We prove an existence and uniqueness theorem for elementary systems that parallels the well-known Newton--Wigner theorem in the quantum context. We also discuss and justify the geometric interpretation of the Newton--Wigner position as `centre of spin', already proposed by Fleming in 1965 again in the quantum context. 
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